TSTP Solution File: SWW190+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW190+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:26:19 EDT 2022
% Result : Unknown 0.21s 0.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW190+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : sos-script %s
% 0.13/0.36 % Computer : n022.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sun Jun 5 03:14:06 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.53 ----- Otter 3.2, August 2001 -----
% 0.21/0.53 The process was started by sandbox2 on n022.cluster.edu,
% 0.21/0.53 Sun Jun 5 03:14:06 2022
% 0.21/0.53 The command was "./sos". The process ID is 10617.
% 0.21/0.53
% 0.21/0.53 set(prolog_style_variables).
% 0.21/0.53 set(auto).
% 0.21/0.53 dependent: set(auto1).
% 0.21/0.53 dependent: set(process_input).
% 0.21/0.53 dependent: clear(print_kept).
% 0.21/0.53 dependent: clear(print_new_demod).
% 0.21/0.53 dependent: clear(print_back_demod).
% 0.21/0.53 dependent: clear(print_back_sub).
% 0.21/0.53 dependent: set(control_memory).
% 0.21/0.53 dependent: assign(max_mem, 12000).
% 0.21/0.53 dependent: assign(pick_given_ratio, 4).
% 0.21/0.53 dependent: assign(stats_level, 1).
% 0.21/0.53 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.53 dependent: assign(sos_limit, 5000).
% 0.21/0.53 dependent: assign(max_weight, 60).
% 0.21/0.53 clear(print_given).
% 0.21/0.53
% 0.21/0.53 formula_list(usable).
% 0.21/0.53
% 0.21/0.53 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.21/0.53
% 0.21/0.53 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.53 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.53 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.53 clauses in usable.
% 0.21/0.53
% 0.21/0.53 dependent: set(knuth_bendix).
% 0.21/0.53 dependent: set(para_from).
% 0.21/0.53 dependent: set(para_into).
% 0.21/0.53 dependent: clear(para_from_right).
% 0.21/0.53 dependent: clear(para_into_right).
% 0.21/0.53 dependent: set(para_from_vars).
% 0.21/0.53 dependent: set(eq_units_both_ways).
% 0.21/0.53 dependent: set(dynamic_demod_all).
% 0.21/0.53 dependent: set(dynamic_demod).
% 0.21/0.53 dependent: set(order_eq).
% 0.21/0.53 dependent: set(back_demod).
% 0.21/0.53 dependent: set(lrpo).
% 0.21/0.53 dependent: set(hyper_res).
% 0.21/0.53 dependent: set(unit_deletion).
% 0.21/0.53 dependent: set(factor).
% 0.21/0.53
% 0.21/0.53 ------------> process usable:
% 0.21/0.53 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.21/0.53 Following clause subsumed by 16 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.21/0.53 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.21/0.53 Following clause subsumed by 16 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B)|C!=B.
% 0.21/0.53 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 27 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.21/0.53 Following clause subsumed by 13 during input processing: 0 [] {-} A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 0.21/0.53 Following clause subsumed by 12 during input processing: 0 [] {-} A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 0.21/0.53 Following clause subsumed by 27 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 30 during input processing: 0 [] {-} A!=B| -c_member(C,B,D)|c_member(C,A,D).
% 0.21/0.53 Following clause subsumed by 27 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 9 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Lubs_OisUb(A,B,C),D))|c_Lubs_Osetle(A,C,D).
% 0.21/0.53 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Orderings_Oord(A)|hBOOL(hAPP(c_Lubs_OisUb(A,B,C),D))| -c_Lubs_Osetle(A,C,D)| -c_member(A,D,B).
% 0.21/0.53 Following clause subsumed by 42 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Lubs_OisUb(A,B,C),D))|c_member(A,D,B).
% 0.21/0.53 Following clause subsumed by 43 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_OisLub(A,B,C,D)|c_Lubs_OleastP(A,c_Lubs_OisUb(A,B,C),D).
% 0.21/0.53 Following clause subsumed by 44 during input processing: 0 [] {-} -class_Orderings_Oord(A)|c_Lubs_OisLub(A,B,C,D)| -c_Lubs_OleastP(A,c_Lubs_OisUb(A,B,C),D).
% 0.21/0.53 Following clause subsumed by 45 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_OleastP(A,B,C)|c_Lubs_Osetge(A,C,c_Set_OCollect(A,B)).
% 0.21/0.53 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.21/0.53 Following clause subsumed by 60 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.21/0.53 Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B)|C!=B.
% 0.21/0.53 Following clause subsumed by 60 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.21/0.53 Following clause subsumed by 60 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.21/0.53 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.21/0.53 Following clause subsumed by 57 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.21/0.53 Following clause subsumed by 46 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_OleastP(A,B,C)|hBOOL(hAPP(B,C)).
% 0.21/0.53 Following clause subsumed by 77 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.21/0.53 Following clause subsumed by 16 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.21/0.53 Following clause subsumed by 76 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,C,B)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 77 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.21/0.53 Following clause subsumed by 78 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.21/0.53 Following clause subsumed by 82 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.21/0.53 Following clause subsumed by 77 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.21/0.53 Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|B!=C.
% 0.21/0.53 Following clause subsumed by 79 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.21/0.53 Following clause subsumed by 83 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.21/0.53 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.21/0.53 Following clause subsumed by 77 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.21/0.53 Following clause subsumed by 82 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 82 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 80 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.21/0.53 Following clause subsumed by 82 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.21/0.53 Following clause subsumed by 80 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.21/0.53 Following clause subsumed by 54 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 0.21/0.53 Following clause subsumed by 54 during input processing: 0 [] {-} -c_member(A,B,C)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D)|c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 54 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 0.21/0.53 Following clause subsumed by 91 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_Osetle(A,B,C)| -c_member(A,D,B)|c_Orderings_Oord__class_Oless__eq(A,D,C).
% 0.21/0.53 Following clause subsumed by 94 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_Osetge(A,B,C)| -c_member(A,D,C)|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.21/0.53 Following clause subsumed by 107 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B).
% 0.21/0.53 Following clause subsumed by 106 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)|A=B.
% 0.21/0.53 Following clause subsumed by 117 during input processing: 0 [] {-} -c_member(A,B,c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),C))| -c_member(tc_fun(A,tc_HOL_Obool),D,C)|c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 116 during input processing: 0 [] {-} A=B| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.21/0.53 Following clause subsumed by 121 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)|B=C.
% 0.21/0.53 Following clause subsumed by 119 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C).
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|B!=C.
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.21/0.53 Following clause subsumed by 126 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.21/0.53 Following clause subsumed by 119 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.21/0.53 Following clause subsumed by 127 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.21/0.53 Following clause subsumed by 126 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.21/0.53 Following clause subsumed by 137 during input processing: 0 [] {-} -c_member(tc_fun(A,tc_HOL_Obool),B,c_Set_OPow(A,C))|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.21/0.53 Following clause subsumed by 118 during input processing: 0 [] {-} c_member(tc_fun(A,tc_HOL_Obool),B,c_Set_OPow(A,C))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.21/0.53 Following clause subsumed by 158 during input processing: 0 [] {-} -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 0.21/0.53 Following clause subsumed by 161 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.21/0.53 Following clause subsumed by 161 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.21/0.53 Following clause subsumed by 180 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.21/0.53 Following clause subsumed by 178 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 178 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 178 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 180 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 179 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 182 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.21/0.53 Following clause subsumed by 183 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.21/0.53 Following clause subsumed by 179 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.21/0.53 Following clause subsumed by 181 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 178 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 181 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.21/0.53 Following clause subsumed by 197 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 0.21/0.53 Following clause subsumed by 199 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 198 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 0.21/0.53 Following clause subsumed by 197 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 198 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B!=C.
% 0.21/0.53 Following clause subsumed by 217 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=C.
% 0.21/0.53 Following clause subsumed by 216 during input processing: 0 [] {-} c_member(A,B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D).
% 0.21/0.53 Following clause subsumed by 218 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.21/0.53 Following clause subsumed by 216 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.21/0.53 Following clause subsumed by 216 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.21/0.53 Following clause subsumed by 236 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_member(A,C,B)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D)).
% 0.21/0.53 Following clause subsumed by 242 during input processing: 0 [] {-} -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C),D))|hBOOL(hAPP(C,D)).
% 0.21/0.53 Following clause subsumed by 241 during input processing: 0 [] {-} -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C),D))|hBOOL(hAPP(B,D)).
% 0.21/0.53 Following clause subsumed by 238 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 0.21/0.53 Following clause subsumed by 239 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 0.21/0.53 Following clause subsumed by 244 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C)|c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 246 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C).
% 0.21/0.53 Following clause subsumed by 245 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 246 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 0.21/0.53 Following clause subsumed by 245 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 0.21/0.53 Following clause subsumed by 248 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.21/0.53 Following clause subsumed by 249 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 247 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)| -c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 248 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.21/0.53 Following clause subsumed by 249 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 251 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.21/0.53 Following clause subsumed by 252 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 250 during input processing: 0 [] {-} c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)|c_member(A,B,D).
% 0.21/0.53 Following clause subsumed by 251 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.21/0.53 Following clause subsumed by 252 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.21/0.54 Following clause subsumed by 281 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=C.
% 0.21/0.54 Following clause subsumed by 297 during input processing: 0 [flip.2] {-} -c_member(A,B,C)|c_Set_Oinsert(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),D,C))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C).
% 0.21/0.54 Following clause subsumed by 299 during input processing: 0 [flip.2] {-} -c_member(A,B,C)|c_Set_Oinsert(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D)).
% 0.21/0.54 Following clause subsumed by 300 during input processing: 0 [] {-} -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 0.21/0.54 Following clause subsumed by 317 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 0.21/0.54 Following clause subsumed by 319 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(A,C,c_Lattices_Osemilattice__sup__class_Osup(A,B,D)).
% 0.21/0.54 Following clause subsumed by 321 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C))=c_Lattices_Osemilattice__sup__class_Osup(A,B,C).
% 0.21/0.54 Following clause subsumed by 323 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 0.21/0.54 Following clause subsumed by 325 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 0.21/0.54 Following clause subsumed by 326 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,c_Lattices_Osemilattice__inf__class_Oinf(A,B,C),D)=c_Lattices_Osemilattice__inf__class_Oinf(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D)).
% 0.21/0.54 Following clause subsumed by 328 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))=c_Lattices_Osemilattice__inf__class_Oinf(A,C,c_Lattices_Osemilattice__inf__class_Oinf(A,B,D)).
% 0.21/0.54 Following clause subsumed by 330 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,B,C))=c_Lattices_Osemilattice__inf__class_Oinf(A,B,C).
% 0.21/0.54 Following clause subsumed by 332 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,C)=c_Lattices_Osemilattice__inf__class_Oinf(A,C,B).
% 0.21/0.54 Following clause subsumed by 334 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,B)=B.
% 0.21/0.54 Following clause subsumed by 338 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,D,C)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,D),C).
% 0.21/0.54 Following clause subsumed by 335 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.21/0.54 Following clause subsumed by 336 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.21/0.54 Following clause subsumed by 338 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)| -c_Orderings_Oord__class_Oless__eq(A,B,D)| -c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.21/0.54 Following clause subsumed by 340 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=C.
% 0.21/0.54 Following clause subsumed by 351 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D)|c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D)).
% 0.21/0.54 Following clause subsumed by 348 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.21/0.54 Following clause subsumed by 349 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.21/0.54 Following clause subsumed by 351 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.21/0.54 Following clause subsumed by 353 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,C)=B.
% 0.21/0.54 Following clause subsumed by 237 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(A),B)| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B)).
% 0.21/0.54 Following clause subsumed by 396 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.21/0.54 Following clause subsumed by 417 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.21/0.54 Following clause subsumed by 442 during input processing: 0 [] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.21/0.54 Following clause subsumed by 437 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.21/0.54 Following clause subsumed by 183 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.54 Following clause subsumed by 437 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.21/0.54 Following clause subsumed by 181 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 460 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.21/0.54 Following clause subsumed by 477 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.54 Following clause subsumed by 513 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.21/0.54 Following clause subsumed by 515 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.21/0.54 Following clause subsumed by 522 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 0.21/0.54 Following clause subsumed by 524 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 0.21/0.54 Following clause subsumed by 527 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.21/0.54 Following clause subsumed by 528 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.21/0.54 Following clause subsumed by 541 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 0.21/0.54 Following clause subsumed by 586 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.21/0.54 Following clause subsumed by 584 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.21/0.54 Following clause subsumed by 584 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),c_Groups_Ozero__class_Ozero(A)).
% 0.21/0.54 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.21/0.54 Following clause subsumed by 608 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.21/0.54 Following clause subsumed by 614 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),c_Groups_Ozero__class_Ozero(A)).
% 0.21/0.54 Following clause subsumed by 621 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.21/0.54 Following clause subsumed by 608 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.21/0.54 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,B).
% 0.21/0.54 Following clause subsumed by 644 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 0.21/0.54 Following clause subsumed by 641 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)).
% 0.21/0.54 Following clause subsumed by 536 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.21/0.54 Following clause subsumed by 535 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.21/0.54 Following clause subsumed by 505 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 702 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 703 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 704 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 709 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.21/0.54 Following clause subsumed by 710 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.21/0.54 Following clause subsumed by 715 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.21/0.54 Following clause subsumed by 716 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.21/0.54 Following clause subsumed by 719 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.21/0.55 Following clause subsumed by 720 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.21/0.55 Following clause subsumed by 709 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.55 Following clause subsumed by 710 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.21/0.55 Following clause subsumed by 734 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 0.21/0.55 Following clause subsumed by 740 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 0.21/0.55 Following clause subsumed by 741 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.21/0.55 Following clause subsumed by 742 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 0.21/0.55 Following clause subsumed by 501 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.21/0.55 Following clause subsumed by 503 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.55 Following clause subsumed by 502 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.21/0.55 Following clause subsumed by 640 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.21/0.55 Following clause subsumed by 641 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.21/0.55 Following clause subsumed by 502 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.21/0.55 Following clause subsumed by 679 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.21/0.55 Following clause subsumed by 535 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.21/0.55 Following clause subsumed by 786 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.21/0.55 Following clause subsumed by 786 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 0.21/0.55 Following clause subsumed by 784 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 0.21/0.55 Following clause subsumed by 792 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 0.21/0.55 Following clause subsumed by 807 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,D)),C)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 0.21/0.55 Following clause subsumed by 804 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 0.21/0.55 Following clause subsumed by 805 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 0.21/0.55 Following clause subsumed by 806 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 0.21/0.55 Following clause subsumed by 819 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.55 Following clause subsumed by 820 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.55 Following clause subsumed by 823 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.21/0.55 Following clause subsumed by 824 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.21/0.55 Following clause subsumed by 825 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.21/0.55 Following clause subsumed by 826 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),D)=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.21/0.55 Following clause subsumed by 725 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 0.21/0.55 Following clause subsumed by 857 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Oone__class_Oone(A).
% 0.21/0.55 Following clause subsumed by 892 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.21/0.55 Following clause subsumed by 891 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.21/0.55 Following clause subsumed by 898 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C,D).
% 0.21/0.55 Following clause subsumed by 861 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.55 Following clause subsumed by 863 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.55 Following clause subsumed by 862 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.55 Following clause subsumed by 915 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.21/0.55 Following clause subsumed by 960 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.21/0.57 Following clause subsumed by 965 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 0.21/0.57 Following clause subsumed by 961 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.21/0.57 Following clause subsumed by 966 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.21/0.57 Following clause subsumed by 959 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.21/0.57 Following clause subsumed by 950 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B)|c_Nat__Transfer_Otsub(B,A)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,B,A).
% 0.21/0.57 Following clause subsumed by 214 during input processing: 0 [copy,213,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))!=c_Set_Oinsert(A,B,C).
% 0.21/0.57 Following clause subsumed by 213 during input processing: 0 [copy,214,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.21/0.57 455 back subsumes 434.
% 0.21/0.57 570 back subsumes 566.
% 0.21/0.57 653 back subsumes 651.
% 0.21/0.57 654 back subsumes 652.
% 0.21/0.57 Following clause subsumed by 166 during input processing: 0 [copy,1001,flip.1] {-} c_Set_OPow(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)).
% 0.21/0.57 1075 back subsumes 1070.
% 0.21/0.57 Following clause subsumed by 911 during input processing: 0 [copy,1158,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.21/0.57
% 0.21/0.57 ------------> process sos:
% 0.21/0.57 Following clause subsumed by 1202 during input processing: 0 [] {-} c_member(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 0.21/0.57 Following clause subsumed by 1202 during input processing: 0 [] {-} c_member(A,$f5(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 0.21/0.57 Following clause subsumed by 1238 during input processing: 0 [] {-} A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.21/0.57 Following clause subsumed by 1238 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.21/0.57 Following clause subsumed by 1367 during input processing: 0 [] {-} c_member(A,B,C)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),D,C).
% 0.21/0.57 Following clause subsumed by 1368 during input processing: 0 [] {-} c_member(A,B,C)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D).
% 0.21/0.57 Following clause subsumed by 1387 during input processing: 0 [] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),D).
% 0.21/0.57 Following clause subsumed by 1391 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(A)).
% 0.21/0.57 Following clause subsumed by 1400 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.57 Following clause subsumed by 1391 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.59 Following clause subsumed by 1391 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(A)).
% 0.21/0.59 Following clause subsumed by 1412 during input processing: 0 [] {-} c_Finite__Set_Ofold__graph(A,B,C,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),D).
% 0.21/0.59 Following clause subsumed by 1434 during input processing: 0 [demod,1432,1366] {-} c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.59 Following clause subsumed by 1526 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.21/0.59 1211 back subsumes 1012.
% 0.21/0.59 1212 back subsumes 1179.
% 0.21/0.59 1212 back subsumes 1178.
% 0.21/0.59 1239 back subsumes 1037.
% 0.21/0.59 Following clause subsumed by 1248 during input processing: 0 [copy,1248,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 0.21/0.59 Following clause subsumed by 1302 during input processing: 0 [copy,1302,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,D)).
% 0.21/0.59 Following clause subsumed by 1303 during input processing: 0 [copy,1303,flip.1] {-} c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,D)).
% 0.21/0.59 Following clause subsumed by 1310 during input processing: 0 [copy,1310,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,B).
% 0.21/0.59 Following clause subsumed by 1311 during input processing: 0 [copy,1311,flip.1] {-} c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,B).
% 0.21/0.59 Following clause subsumed by 1399 during input processing: 0 [copy,1399,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),B).
% 0.21/0.59 Following clause subsumed by 1713 during input processing: 0 [copy,1407,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.59 Following clause subsumed by 1713 during input processing: 0 [copy,1434,flip.1] {-} c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.59 Following clause subsumed by 1451 during input processing: 0 [copy,1451,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),A).
% 0.21/0.59 Following clause subsumed by 1458 during input processing: 0 [copy,1458,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A).
% 0.21/0.59 Following clause subsumed by 1478 during input processing: 0 [copy,1478,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.21/0.59 Following clause subsumed by 1479 during input processing: 0 [copy,1479,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.21/0.59 Following clause subsumed by 1713 during input processing: 0 [copy,1483,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D)).
% 0.21/0.59 Following clause subsumed by 1713 during input processing: 0 [copy,1496,flip.1] {-} c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)).
% 0.21/0.59 Following clause subsumed by 1505 during input processing: 0 [copy,1505,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),A).
% 0.21/0.59 Following clause subsumed by 1522 during input processing: 0 [copy,1522,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C)).
% 0.21/0.59 Following clause subsumed by 1523 during input processing: 0 [copy,1523,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.21/0.59 Following clause subsumed by 1713 during input processing: 0 [copy,1713,flip.1] {-} A=A.
% 0.21/0.59 1713 back subsumes 1496.
% 0.21/0.59 1713 back subsumes 1483.
% 0.21/0.59 1713 back subsumes 1434.
% 0.21/0.59 1713 back subsumes 1407.
% 0.21/0.59 1713 back subsumes 1160.
% 0.21/0.59 1713 back subsumes 1152.
% 0.21/0.59 1713 back subsumes 1040.
% 0.21/0.59 1713 back subsumes 1035.
% 0.21/0.59 1713 back subsumes 1034.
% 0.21/0.59 1713 back subsumes 1006.
% 0.21/0.59 1713 back subsumes 1005.
% 0.21/0.59 1713 back subsumes 1004.
% 0.21/0.59 1713 back subsumes 1000.
% 0.21/0.59 1713 back subsumes 999.
% 0.21/0.59 1713 back subsumes 998.
% 0.21/0.59 1713 back subsumes 997.
% 0.21/0.59 1713 back subsumes 995.
% 0.21/0.59 1713 back subsumes 992.
% 0.21/0.59 Following clause subsumed by 1757 during input processing: 0 [copy,1754,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,C),D).
% 0.21/0.59 Following clause subsumed by 1754 during input processing: 0 [copy,1757,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,C),D)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 0.21/0.59 Following clause subsumed by 1318 during input processing: 0 [copy,1758,flip.1] {-} c_Set_OPow(A,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Set_OPow(A,B),c_Set_OPow(A,C)).
% 0.21/0.59 Following clause subsumed by 1320 during input processing: 0 [copy,1759,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.21/0.59 Following clause subsumed by 1338 during input processing: 0 [copy,1760,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.21/0.59 Following clause subsumed by 1343 during input processing: 0 [copy,1761,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,C,B),D).
% 0.21/0.59 Following clause subsumed by 1371 during input processing: 0 [copy,1764,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))),C).
% 0.21/0.59 Following clause subsumed by 1374 during input processing: 0 [copy,1765,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D).
% 0.21/0.59 Following clause subsumed by 1375 during input processing: 0 [copy,1766,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,D),c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 0.21/0.59 Following clause subsumed by 1398 during input processing: 0 [copy,1767,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.59 1836 back subsumes 1771.
% 0.21/0.59 1836 back subsumes 1770.
% 0.21/0.59 Following clause subsumed by 1465 during input processing: 0 [copy,1866,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.21/0.59 Following clause subsumed by 1470 during input processing: 0 [copy,1867,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.59 Following clause subsumed by 1878 during input processing: 0 [copy,1875,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.21/0.59 Following clause subsumed by 1875 during input processing: 0 [copy,1878,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)).
% 0.21/0.59
% 0.21/0.59 ======= end of input processing =======
% 0.21/0.59
% 0.21/0.59 SEGMENTATION FAULT!! This is probably caused by a
% 0.21/0.59 bug in Otter. Please send copy of the input file to
% 0.21/0.59 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.21/0.59 using, and send any other info that might be useful.
% 0.21/0.59
% 0.21/0.59
% 0.21/0.59 SEGMENTATION FAULT!! This is probably caused by a
% 0.21/0.59 bug in Otter. Please send copy of the input file to
% 0.21/0.59 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.21/0.59 using, and send any other info that might be useful.
% 0.21/0.59
% 0.21/0.59
% 0.21/0.59 The job finished Sun Jun 5 03:14:06 2022
%------------------------------------------------------------------------------